Optical constants
Refractive index of SiO2 - Fused silica (visible grade) (CRYSTRAN)
SiO2 - Fused silica (visible grade): n,k 0.2–3.37 µm
- Data
- tabulated n + tabulated k
- Range
- 0.2–3.37 µm
- Points
- 32
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.45855
- Extinction coefficient k
- 8.47210e-08
- Permittivity ε1
- 2.12736
- Permittivity ε2
- 2.47139e-07
- Absorption coefficient α
- 0.0181184 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 1.10385e+09 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0408 µm⁻¹
- Group index ng
- 1.48252
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# SiO2 - Fused silica (visible grade) (CRYSTRAN): SiO2 - Fused silica (visible grade)
mat = ls.fetch_refractiveindex("specs", "CRYSTRAN-optical", "fused_silica-vis", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (200, 3370) nm
eps = mat.eps([633]) # complex permittivityDownloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_b61e994a9098/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (crystran-fused-silica-vis/crystran).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
Comments and conditions
Properties
- density
- value: 2203
- thermal dispersion
- type: constant, value: 12.9e-06
- thermal expansion
- value: 0.55e-06, temperature: 300
- hardness
- type: Knoop, value: 4.90e9, indenter mass: 0.2
- melting point
- value: 1873
- thermal conductivity
- value: 1.38
- youngs modulus
- value: 73.1e9
- poissons ratio
- value: 0.17
- solubility
- value: 0
Thermo-optic coefficient
- dn/dT = 1.29e-05 K⁻¹
References
See also Crystran Fused silica online data sheet
Cite
Crystran Ltd. The Crystran handbook of infra-red and ultra-violet optical materials (5th edition, 2023); See also Crystran Fused silica online data sheet; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 32 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.2 | 1.55051 | 2.340000e-06 |
| 0.25 | 1.50745 | 4.560000e-07 |
| 0.3 | 1.48779 | 3.780000e-08 |
| 0.36 | 1.47529 | 9.000000e-09 |
| 0.4 | 1.47012 | 9.610000e-09 |
| 0.45 | 1.46557 | 2.962893e-08 |
| 0.5 | 1.46233 | 4.964786e-08 |
| 0.55 | 1.46008 | 6.966680e-08 |
| 0.6 | 1.45804 | 8.968573e-08 |
| 0.65 | 1.45653 | 1.097047e-07 |
| 0.7 | 1.45529 | 1.297236e-07 |
| 0.75 | 1.45424 | 1.497425e-07 |
| 0.8 | 1.45332 | 1.697615e-07 |
| 0.85 | 1.45245 | 1.897804e-07 |
| 0.9 | 1.45175 | 2.097993e-07 |
| 1 | 1.45042 | 2.498372e-07 |
| 1.1 | 1.4492 | 2.898750e-07 |
| 1.2 | 1.44805 | 3.299129e-07 |
| 1.3 | 1.44692 | 3.699508e-07 |
| 1.5 | 1.44462 | 6.140000e-08 |
| 1.6 | 1.44342 | 3.930000e-09 |
| 1.7 | 1.44217 | 5.710000e-09 |
| 1.8 | 1.44087 | 1.490000e-07 |
| 1.9 | 1.43951 | 3.140000e-07 |
| 2 | 1.43809 | 3.190000e-07 |
| 2.2 | 1.43501 | 4.670000e-06 |
| 2.4 | 1.43163 | 1.380000e-06 |
| 2.6 | 1.42789 | 1.200000e-05 |
| 2.8 | 1.42377 | 0.000162 |
| 3 | 1.41925 | 7.360000e-06 |
| 3.2 | 1.41427 | 4.390000e-06 |
| 3.37 | 1.41099 | 4.240000e-06 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Fused Silica is a hard, high temperature pure glass. Fused Silica is used for UV and visible components. Infra-red grades of Fused Silica are available for NIR use.
Fused Silica is the glassy form of Quartz and is thus isotropic. Fused Silica is tough and hard and has a very low expansion. Normal varieties of Fused Silica contain water which gives strong absortion in the IR. Water-free varieties of Fused Silica are available.
REFERENCES:
(1) Handbook Optical Constants, ed Palik, V1, ISBN 0-12-544420-6
(2) Toyoda & Yabe J. Phys. D: Appl. Phys.,1 6 (1983)